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Finding the Fourth Proportional to 9,790.26, 13,510.64 and 5,541.32

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Solution

The fourth proportional to 9,790.26, 13,510.64 and 5,541.32 is: 7,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.26 : 13,510.64 = 5,541.32 : x
  2. Step 2: Convert to fraction form
    9,790.26/13,510.64 = 5,541.32/x
  3. Step 3: Cross multiply
    9,790.26x = 13,510.64 × 5,541.32
  4. Step 4: Simplify right side
    9,790.26x = 74,866,779.64
  5. Step 5: Solve for x
    x = 74,866,779.64/9,790.26
  6. Step 6: Final answer
    x = 7,647.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.